mathsurgery - Calculations and checking year 9

All
• Read and write positive integer powers of 10; multiply and divide integers and decimals by 0.1, 0.01• Order decimals• Round positive numbers to any given power of 10; round decimals to the nearest whole number or to one or two decimal places
• Make and justify estimates and approximations of calculations
• Strengthen and extend mental methods of calculation, working with decimals, fractions, percentages, squares and square roots, and cubes and cube roots; solve problems mentally
• Use efficient written methods for multiplication and division of integers and decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations
• Select from a range of checking methods, including estimating in context and using inverse operations

Most
• Extend knowledge of integer powers of 10; recognise the equivalence of 0.1, 1/10 and 10−1; multiply and divide by any integer power of 10
• Use rounding to make estimates and to give solutions to problems to an appropriate degree of accuracy
• Check results using appropriate methods

Some
• Understand and use proportionality and calculate the result of any proportional change using multiplicative methods
• Calculate an original amount when given the transformed amount after a percentage change; use calculators for reverse percentage calculations by doing an appropriate division

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Calculations and checking year 9